Table of contents

Chapters in this book

1. Frontmatter I
2. Preface V
3. Table of contents VII
4. Chapter I. Probability theory 1
5. Chapter II. Statistics and their probability distributions, estimation theory 62
6. Chapter III. Hypothesis tests 142
7. Chapter IV. Simple regression analysis 182
8. Chapter V. Normal analysis of variance 208
9. Chapter VI. Non-parametric methods 227
10. Chapter VII. Stochastic analysis and its applications in statistics 257
11. Chapter VIII. Vectorial statistics 382
12. Appendix A. Lebesgue's convergence theorems 482
13. Appendix B. Product measures 485
14. Appendix C. Conditional probabilities 488
15. Appendix D. The characteristic function of the Cauchy distribution 492
16. Appendix E. Metric spaces, equicontinuity 495
17. Appendix F. The Fourier transform and the existence of stoutly tailed distribution functions 504
18. List of elementary probability densities 510
19. Frequently used symbols 512
20. Statistical tables 518
21. References 537
22. Index 541